Highest Common Factor of 6046, 5034, 53044 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6046, 5034, 53044 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6046, 5034, 53044 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 6046, 5034, 53044 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 6046, 5034, 53044 is 2.
HCF(6046, 5034, 53044) = 2
HCF of 6046, 5034, 53044 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6046, 5034, 53044 is 2.
Highest Common Factor of 6046,5034,53044 is 2
Step 1: Since 6046 > 5034, we apply the division lemma to 6046 and 5034, to get
6046 = 5034 x 1 + 1012
Step 2: Since the reminder 5034 ≠ 0, we apply division lemma to 1012 and 5034, to get
5034 = 1012 x 4 + 986
Step 3: We consider the new divisor 1012 and the new remainder 986, and apply the division lemma to get
1012 = 986 x 1 + 26
We consider the new divisor 986 and the new remainder 26,and apply the division lemma to get
986 = 26 x 37 + 24
We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6046 and 5034 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(986,26) = HCF(1012,986) = HCF(5034,1012) = HCF(6046,5034) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53044 > 2, we apply the division lemma to 53044 and 2, to get
53044 = 2 x 26522 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 53044 is 2
Notice that 2 = HCF(53044,2) .
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Frequently Asked Questions on HCF of 6046, 5034, 53044 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 6046, 5034, 53044?
Answer: HCF of 6046, 5034, 53044 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6046, 5034, 53044 using Euclid's Algorithm?
Answer: For arbitrary numbers 6046, 5034, 53044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.